Scheduling with controllable release dates and processing times: Makespan minimization

Edwin Tai Chiu Cheng, Mikhail Y. Kovalyov, Natalia V. Shakhlevich

Research output: Journal article publicationJournal articleAcademic researchpeer-review

19 Citations (Scopus)

Abstract

The paper deals with the single-machine scheduling problem in which job processing times as well as release dates are controllable parameters and they may vary within given intervals. While all release dates have the same boundary values, the processing time intervals are arbitrary. It is assumed that the cost of compressing processing times and release dates from their initial values is a linear function of the compression amount. The objective is to minimize the makespan together with the total compression cost. We construct a reduction to the assignment problem for the case of equal release date compression costs and develop an O(n2) algorithm for the case of equal release date compression costs and equal processing time compression costs. For the bicriteria version of the latter problem with agreeable processing times, we suggest an O(n2) algorithm that constructs the breakpoints of the efficient frontier.
Original languageEnglish
Pages (from-to)751-768
Number of pages18
JournalEuropean Journal of Operational Research
Volume175
Issue number2
DOIs
Publication statusPublished - 1 Dec 2006

Keywords

  • Controllable processing times
  • Controllable release dates
  • Makespan
  • Scheduling
  • Single-machine

ASJC Scopus subject areas

  • Modelling and Simulation
  • Management Science and Operations Research
  • Information Systems and Management

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